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slava [35]
1 year ago
13

Match the phenomenal expression on the left with the simplified version on the right

Mathematics
1 answer:
nalin [4]1 year ago
8 0

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2

We get,

\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2(y+5)^2=y^2+10y+25

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

(a+b)(a-b)=a^2-b^2

We get,

\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2(y-5)(y+5)=y^2-25^{}

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sarah used 3/4 pound of blueberries to make 1/2 cup of jam. how many pounds of blueberries would she need to make a cup of jam?
Ksenya-84 [330]

Answer: She needed 1\frac{1}{2}\text{ pounds of blueberries} to make a cup of jam .

Step-by-step explanation:

Since we have given that

Sarah used \frac{3}{4} pound of blueberries to make \frac{1}{2} cup of jam.

As we need to find the number of pounds of blueberries she would need to make a cup of jam.

So, we will use "Unitary Method":

\text{For }\frac{1}{2}\text{ cup of jam},\\\\\text{ she need }\frac{3}{4}\text{ pound of blueberries }\\\\\text{ For 1 cup of jam}.\\\\\text{She need }=\frac{3}{4}\times 2=\frac{3}{2}=1\frac{1}{2}\text{ pounds of blueberries }

Hence, She needed 1\frac{1}{2}\text{ pounds of blueberries} to make a cup of jam .

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3 years ago
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8 0
3 years ago
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mel-nik [20]

Step-by-step explanation:

= ( - 3c + 6) + ( - c + 8)

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hope it helped !!

6 0
1 year ago
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